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Finding the Fourth Proportional to 10,877.88, 16,324.12 and 6,985.02

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Solution

The fourth proportional to 10,877.88, 16,324.12 and 6,985.02 is: 10,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.88 : 16,324.12 = 6,985.02 : x
  2. Step 2: Convert to fraction form
    10,877.88/16,324.12 = 6,985.02/x
  3. Step 3: Cross multiply
    10,877.88x = 16,324.12 × 6,985.02
  4. Step 4: Simplify right side
    10,877.88x = 114,024,304.68
  5. Step 5: Solve for x
    x = 114,024,304.68/10,877.88
  6. Step 6: Final answer
    x = 10,482.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.